A widget manufacturer has the capability of making three types of widgets. Type A widgets require 14 minutes on a lathe, 2 minutes on a grinder, and 2 minutes on a drill press, and produce a profit of $5. Type B widgets require 8 minutes on a lathe, 7 minutes on a grinder, and 2 minutes on a drill press, and produce a profit of $25. Type C widgets require 4 minutes on a lathe, 4 minutes on a grinder, and 8 minutes on a drill press, and produce a profit of $30. Each day, 620 minutes of lathe time, 530 minutes of grinder time, and 220 minutes of drill press time are available. How many of each type of widget should be produced each day to maximize the profit? What is the maximum profit? CITE The maximum profit is $ This occurs when the manufacturer makes type A widgets, type B widgets, and type C widgets each day.

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